{"title":"Calderón preconditioning techniques for integral equation based methods","authors":"Su Yan, Jianming Jin, Z. Nie","doi":"10.1109/URSI-EMTS.2010.5637125","DOIUrl":null,"url":null,"abstract":"Some recent advances in the Calderón preconditioning techniques for integral-equation-based methods are discussed in this paper. Four different techniques are presented briefly: a low-frequency Calderón preconditioner for the electric-field integral equation (EFIE) in analyzing perfect electric conductor (PEC) problems, an augmented EFIE (AEFIE) with Calderón preconditioner for simulating electrically large problems, several Calderón-type preconditioners for the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations, and the derivation of N-Müller equations using Calderón identities. A number of numerical examples are given to demonstrate the performance of the proposed approaches.","PeriodicalId":404116,"journal":{"name":"2010 URSI International Symposium on Electromagnetic Theory","volume":"116 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 URSI International Symposium on Electromagnetic Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/URSI-EMTS.2010.5637125","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Some recent advances in the Calderón preconditioning techniques for integral-equation-based methods are discussed in this paper. Four different techniques are presented briefly: a low-frequency Calderón preconditioner for the electric-field integral equation (EFIE) in analyzing perfect electric conductor (PEC) problems, an augmented EFIE (AEFIE) with Calderón preconditioner for simulating electrically large problems, several Calderón-type preconditioners for the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) equations, and the derivation of N-Müller equations using Calderón identities. A number of numerical examples are given to demonstrate the performance of the proposed approaches.
本文讨论了基于积分方程方法的Calderón预处理技术的最新进展。简要介绍了四种不同的技术:用于分析完美电导体(PEC)问题的电场积分方程(EFIE)的低频Calderón预调节器，用于模拟电大问题的带有Calderón预调节器的增广EFIE (AEFIE)，用于Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT)方程的几种Calderón-type预调节器，以及使用Calderón等式推导n- m ller方程。通过数值算例验证了所提方法的有效性。
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